Dalal Khalid Almutairi
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Dalal Khalid Almutairi has a total of 67 co-authors. Here are the top co-authors by number of shared publications:
- Asifa Tassaddiq
Department of Information Technology, College of Computer and Information Sciences, Majmaah University, Al Majmaah 11952, Saudi Arabia
9 shared publications - Hasib Khan
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
8 shared publications - Jehad Alzabut
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
8 shared publications - Mohamed A. Abdoon
Department of Basic Sciences, Common First Year Deanship, King Saud University, P.O. Box 145111, Riyadh 11362, Saudi Arabia
8 shared publications - Rabab Alharbi
Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
6 shared publications - Ruhaila Md Kasmani
Institute of Mathematical Sciences, Universiti Malaya, Kuala Lumpur 50603, Malaysia
5 shared publications
Latest Publications
- Open Access
- 30 August 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (17) , 3114
Coefficient Bounds and Parameter Geometry for Gamma-Deformed Mathieu–Ma–Minda Bi-Univalent Functions
The factorial Mathieu multiplier used in the nearest bi-univalent model is substituted with a gamma-shifted family using deformation parameter . In this case, one differential operator describes all class operators introduced previously, whereas the function and inverse subordination can be controlled by two different generalized Ma–Minda functions. Explicit bounds for , and the Fekete–Szegő functional follow from identities involving exact second-order coefficients. These are sharpened by using the full Schwarz–Pick estimate . The estimates continue to hold even when . The positive-real-part, strongly starlike, Janowski, mixed Mathieu, and phase-dependent Noshiro families are included with explicit admissibility criteria, except for the Noshiro family, which has its phase limited to , since vanishes at the excluded endpoint. The numerical analysis compares the gamma deformation with the factorial case, partitions parameter space according to the active coefficient estimate, locates , and shows how unequal targets displace the center of the Fekete–Szegő bound. The auxiliary Schwarz inequalities are sharp, but simultaneous equality within the full bi-univalent class is not established.- 30 August 2026
- Published by MDPI AG in Mathematics
- Vol. 14 (17) , 3114
Open AccessCoefficient Bounds and Parameter Geometry for Gamma-Deformed Mathieu–Ma–Minda Bi-Univalent Functions
The factorial Mathieu multiplier used in the nearest bi-univalent model is substituted with a gamma-shifted family using deformation parameter . In this case, one differential operator describes all class operators introduced previously, whereas the function and inverse subordination can be controlled by two different generalized Ma–Minda functions. Explicit bounds for , and the Fekete–Szegő functional follow from identities involving exact second-order coefficients. These are sharpened by using the full Schwarz–Pick estimate . The estimates continue to hold even when . The positive-real-part, strongly starlike, Janowski, mixed Mathieu, and phase-dependent Noshiro families are included with explicit admissibility criteria, except for the Noshiro family, which has its phase limited to , since vanishes at the excluded endpoint. The numerical analysis compares the gamma deformation with the factorial case, partitions parameter space according to the active coefficient estimate, locates , and shows how unequal targets displace the center of the Fekete–Szegő bound. The auxiliary Schwarz inequalities are sharp, but simultaneous equality within the full bi-univalent class is not established. - Open Access
- 29 August 2026
- Published by MDPI AG in Diagnostics
- Vol. 16 (17) , 2781
AI-Assisted Multilabel Diagnosis of 12-Lead Electrocardiograms Using an Interpretable Stacked Deep Learning Model with External Validation
Background: Automated interpretation of 12-lead electrocardiograms (ECGs) remains challenging because multiple abnormalities may coexist and appear in selected leads or brief waveform segments. We developed a compact and interpretable framework for five-superclass multi-label ECG diagnosis. Methods: We evaluated PTB-XL records using the official fold protocol, with folds 1–8 for training, fold 9 for validation monitoring and class-specific threshold selection, and fold 10 for independent internal testing. We then evaluated the frozen 1.33-million-parameter InceptionTime–CNN–BiGRU–Transformer model and validation-derived thresholds on 15,931 Ningbo ECGs without retraining, recalibration, or external threshold adjustment. We also examined calibration, demographic subgroups, computational efficiency, and complementary ECG-domain attribution methods. Results: Macro-AUROC reached 90.83% on PTB-XL fold 10 and 88.85% on Ningbo, indicating generally consistent diagnostic ranking with a modest reduction during external evaluation. Sensitivity analysis showed that CNN-only outperformed the frozen primary model on five of six endpoints. Attribution analyses highlighted qualitatively plausible lead and temporal patterns in representative examples, while calibration and subgroup analyses further characterized model behavior under dataset shift. Conclusions: Our framework integrates leakage-aware development, threshold-controlled testing, frozen external validation, and multimethod interpretability. These findings support its further prospective, locally calibrated evaluation as a potential aid for multi-label ECG interpretation.
- 29 August 2026
- Published by MDPI AG in Diagnostics
- Vol. 16 (17) , 2781
Open AccessAI-Assisted Multilabel Diagnosis of 12-Lead Electrocardiograms Using an Interpretable Stacked Deep Learning Model with External Validation
Background: Automated interpretation of 12-lead electrocardiograms (ECGs) remains challenging because multiple abnormalities may coexist and appear in selected leads or brief waveform segments. We developed a compact and interpretable framework for five-superclass multi-label ECG diagnosis. Methods: We evaluated PTB-XL records using the official fold protocol, with folds 1–8 for training, fold 9 for validation monitoring and class-specific threshold selection, and fold 10 for independent internal testing. We then evaluated the frozen 1.33-million-parameter InceptionTime–CNN–BiGRU–Transformer model and validation-derived thresholds on 15,931 Ningbo ECGs without retraining, recalibration, or external threshold adjustment. We also examined calibration, demographic subgroups, computational efficiency, and complementary ECG-domain attribution methods. Results: Macro-AUROC reached 90.83% on PTB-XL fold 10 and 88.85% on Ningbo, indicating generally consistent diagnostic ranking with a modest reduction during external evaluation. Sensitivity analysis showed that CNN-only outperformed the frozen primary model on five of six endpoints. Attribution analyses highlighted qualitatively plausible lead and temporal patterns in representative examples, while calibration and subgroup analyses further characterized model behavior under dataset shift. Conclusions: Our framework integrates leakage-aware development, threshold-controlled testing, frozen external validation, and multimethod interpretability. These findings support its further prospective, locally calibrated evaluation as a potential aid for multi-label ECG interpretation.
- Open Access
- 27 May 2026
- Published by MDPI AG in Fractal and Fractional
- Vol. 10 (6) , 365
A Visual and Quantitative Study of Fractal Mandelbrot Sets Using the IA-Iterative Algorithm for Complex Functions
This paper presents a visual and quantitative study of Mandelbrot sets generated by the IA-iterative algorithm for the transcendental complex map , where , , and . A rigorous escape criterion is derived for the proposed map under the IA iteration scheme, providing the mathematical foundation for the generation and analysis of the associated fractal sets. Using this criterion, a broad family of Mandelbrot sets is constructed to examine the influence of the polynomial degree p and the transcendental parameter q on geometric complexity, symmetry, and branching behavior. To complement the visual analysis, a quantitative computational investigation is performed using the fractal dimension, non-escaping area index, average escape time, and average number of iterations. The numerical results reveal nonlinear relationships between these measures and the iteration parameters , demonstrating the adaptability of the IA scheme for controlled fractal generation. A comparative analysis with CR iteration is also included to evaluate structural variation, computational behavior, and the broader relevance of the method for computer-based fractal modeling, visualization, and algorithmic design.- 27 May 2026
- Published by MDPI AG in Fractal and Fractional
- Vol. 10 (6) , 365
Open AccessA Visual and Quantitative Study of Fractal Mandelbrot Sets Using the IA-Iterative Algorithm for Complex Functions
This paper presents a visual and quantitative study of Mandelbrot sets generated by the IA-iterative algorithm for the transcendental complex map , where , , and . A rigorous escape criterion is derived for the proposed map under the IA iteration scheme, providing the mathematical foundation for the generation and analysis of the associated fractal sets. Using this criterion, a broad family of Mandelbrot sets is constructed to examine the influence of the polynomial degree p and the transcendental parameter q on geometric complexity, symmetry, and branching behavior. To complement the visual analysis, a quantitative computational investigation is performed using the fractal dimension, non-escaping area index, average escape time, and average number of iterations. The numerical results reveal nonlinear relationships between these measures and the iteration parameters , demonstrating the adaptability of the IA scheme for controlled fractal generation. A comparative analysis with CR iteration is also included to evaluate structural variation, computational behavior, and the broader relevance of the method for computer-based fractal modeling, visualization, and algorithmic design. - 14 May 2025
- Published by World Scientific Pub Co Pte Ltd in Fractals
ARTIFICIAL INTELLIGENCE AND NEURAL NETWORKING FOR AN ANALYSIS OF FRACTAL–FRACTIONAL ZIKA VIRUS MODEL
This study examines the utilization of artificial intelligence (AI) and neural networking approaches for modeling the outbreak of the zoonotic Zika virus transmissions dynamics among hums and mosquitoes by applying the fractal–fractional operators. The theoretical and computational aspects enhance the significance of the study for control and treatment procedures. The theoretical aspect of the paper includes the existence, stability, and uniqueness results which validate the accuracy of the model and leading us to the computational results. The computational results are carried out with a computational scheme which gives us intricate data for the future predictions. The AI is used to validate, train, and test the data driven from the numerical simulations and measure the errors. Our work open doors for the researchers for the applications of the AI tools for the deep analysis of the zoonotic intricate disease dynamics.
- 14 May 2025
- Published by World Scientific Pub Co Pte Ltd in Fractals
ARTIFICIAL INTELLIGENCE AND NEURAL NETWORKING FOR AN ANALYSIS OF FRACTAL–FRACTIONAL ZIKA VIRUS MODEL
This study examines the utilization of artificial intelligence (AI) and neural networking approaches for modeling the outbreak of the zoonotic Zika virus transmissions dynamics among hums and mosquitoes by applying the fractal–fractional operators. The theoretical and computational aspects enhance the significance of the study for control and treatment procedures. The theoretical aspect of the paper includes the existence, stability, and uniqueness results which validate the accuracy of the model and leading us to the computational results. The computational results are carried out with a computational scheme which gives us intricate data for the future predictions. The AI is used to validate, train, and test the data driven from the numerical simulations and measure the errors. Our work open doors for the researchers for the applications of the AI tools for the deep analysis of the zoonotic intricate disease dynamics.
- Open Access
- 1 May 2025
- Published by New York Business Global LLC in European Journal of Pure and Applied Mathematics
- Vol. 18 (2) , 5703
Nonstandard Finite Difference Predictor Corrector Method for Quadratic Riccati Differential Equation
Solving nonlinear differential equations reliably and effectively is critical for applications in epidemiology, ecology, and finance. Traditional finite difference approaches frequently exhibit numerical instability and fail to maintain crucial features such as positivity and boundedness. Motivated by these restrictions, we provide an unconditionally stable Nonstandard Finite Difference Predictor-Corrector (NSFD-PC) strategy for solving nonlinear quadratic Riccati differential equations. Particularly when the step size h rises, NSFD-PC typically yields the solution that is closer to the exact solution. Riccati differential equation is 1st-order quadratic ode with several systems and control theory applications. Our technique achieves first-order temporal precision while keeping the continuous model's fundamental qualitative properties. We compare the proposed NSFD-PC scheme to the usual Euler Predictor-Corrector approach and find that it performs much better in accuracy and consistency with exact answers. The results show that our method is a superior and dependable option for solving nonlinear differential equations, making it extremely useful in various applications.
- 1 May 2025
- Published by New York Business Global LLC in European Journal of Pure and Applied Mathematics
- Vol. 18 (2) , 5703
Open AccessNonstandard Finite Difference Predictor Corrector Method for Quadratic Riccati Differential Equation
Solving nonlinear differential equations reliably and effectively is critical for applications in epidemiology, ecology, and finance. Traditional finite difference approaches frequently exhibit numerical instability and fail to maintain crucial features such as positivity and boundedness. Motivated by these restrictions, we provide an unconditionally stable Nonstandard Finite Difference Predictor-Corrector (NSFD-PC) strategy for solving nonlinear quadratic Riccati differential equations. Particularly when the step size h rises, NSFD-PC typically yields the solution that is closer to the exact solution. Riccati differential equation is 1st-order quadratic ode with several systems and control theory applications. Our technique achieves first-order temporal precision while keeping the continuous model's fundamental qualitative properties. We compare the proposed NSFD-PC scheme to the usual Euler Predictor-Corrector approach and find that it performs much better in accuracy and consistency with exact answers. The results show that our method is a superior and dependable option for solving nonlinear differential equations, making it extremely useful in various applications.
- Open Access
- 25 April 2025
- Published by MDPI AG in Fractal and Fractional
- Vol. 9 (5) , 277
Variable-Fractional-Order Nosé–Hoover System: Chaotic Dynamics and Numerical Simulations
This study explores the variable-order fractional Nosé–Hoover system, investigating the evolution of its chaotic and stable states under variable-order derivatives. Variable-order derivatives introduce greater complexity and adaptability into a system’s dynamics. The main objective is to examine these effects through numerical simulations, showcasing how changes in the order function influence a system’s behavior. The variable-order behavior is shown by phase space orbits and time series for various variable orders . We look at how the system acts by using numerical solutions and numerical simulations. The phase space orbits and time series for different show variable-order effects. The findings emphasize the role of variable-order derivatives in enhancing chaotic behavior, offering novel insights into their impact on dynamical systems.- 25 April 2025
- Published by MDPI AG in Fractal and Fractional
- Vol. 9 (5) , 277
Open AccessVariable-Fractional-Order Nosé–Hoover System: Chaotic Dynamics and Numerical Simulations
This study explores the variable-order fractional Nosé–Hoover system, investigating the evolution of its chaotic and stable states under variable-order derivatives. Variable-order derivatives introduce greater complexity and adaptability into a system’s dynamics. The main objective is to examine these effects through numerical simulations, showcasing how changes in the order function influence a system’s behavior. The variable-order behavior is shown by phase space orbits and time series for various variable orders . We look at how the system acts by using numerical solutions and numerical simulations. The phase space orbits and time series for different show variable-order effects. The findings emphasize the role of variable-order derivatives in enhancing chaotic behavior, offering novel insights into their impact on dynamical systems. - Open Access
- 17 April 2025
- Published by MDPI AG in Fractal and Fractional
- Vol. 9 (4) , 256
New Fractional Integral Inequalities Involving the Fox-H and Meijer-G Functions for Convex and Synchronous Functions
On the one hand, convex functions are important to derive rigorous convergence rates, and on the other, synchronous functions are significant to solve statistical problems using Chebyshev inequalities. Therefore, fractional integral inequalities involving such functions play a crucial role in creating new models and methods. Although a large class of fractional operators have been used to establish inequalities, nevertheless, these operators having the Fox-H and the Meijer-G functions in their kernel have been applied to establish fractional integral inequalities for such important classes of functions. Taking motivation from these facts, the primary objective of this work is to develop fractional inequalities involving the Fox-H function for convex and synchronous functions. Since the Fox-H function generalizes several important special functions of fractional calculus, our results are significant to innovate the existing literature. The inventive features of these functions compel researchers to formulate deeper results involving them. Therefore, compared with the ongoing research in this field, our results are general enough to yield novel and inventive fractional inequalities. For instance, new inequalities involving the Meijer-G function are obtained as the special cases of these outcomes, and certain generalizations of Chebyshev inequality are also included in this article.
- 17 April 2025
- Published by MDPI AG in Fractal and Fractional
- Vol. 9 (4) , 256
Open AccessNew Fractional Integral Inequalities Involving the Fox-H and Meijer-G Functions for Convex and Synchronous Functions
On the one hand, convex functions are important to derive rigorous convergence rates, and on the other, synchronous functions are significant to solve statistical problems using Chebyshev inequalities. Therefore, fractional integral inequalities involving such functions play a crucial role in creating new models and methods. Although a large class of fractional operators have been used to establish inequalities, nevertheless, these operators having the Fox-H and the Meijer-G functions in their kernel have been applied to establish fractional integral inequalities for such important classes of functions. Taking motivation from these facts, the primary objective of this work is to develop fractional inequalities involving the Fox-H function for convex and synchronous functions. Since the Fox-H function generalizes several important special functions of fractional calculus, our results are significant to innovate the existing literature. The inventive features of these functions compel researchers to formulate deeper results involving them. Therefore, compared with the ongoing research in this field, our results are general enough to yield novel and inventive fractional inequalities. For instance, new inequalities involving the Meijer-G function are obtained as the special cases of these outcomes, and certain generalizations of Chebyshev inequality are also included in this article.
- 8 April 2025
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 39 (03) , 300-324
Monkeypox dynamical system with stability and computational analysis of the transmission
This work offers a deterministic approach for the movement of monkeypox (Mpox) virus environmental transmission in the context of immunization and quarantine. It emphasizes the critical role of awareness and treatments in potentially slowing the spread of the disease. It highlights how global awareness and the use of medications, supported by a mathematical model (MM), can effectively reduce the incidence of newly acquired diseases and help control pandemic disease. This work improves our understanding of the structure and behavior of mpox, which affects control and prevention strategies. For this, population are {classified} into two parts, namely, human and rodent population. In this study, a novel mathematical model (MM) of the Mpox is developed and examined. For this, boundedness and positivity, both equilibrium states (DFE, EE), stability analysis (local and global) of the model are studied and analyzed {with the DFE and EE points, respectively}. Furthermore, bifurcation and sensitivity analysis of the model are investigated {using} the central manifold theory and {the} forward index method, respectively. Furthermore, numerical simulations of the model are performed by the \(RK\)-4 method, to validate the analytical findings.- 8 April 2025
- Published by International Scientific Research Publications in Journal of Mathematics and Computer Science
- Vol. 39 (03) , 300-324
Monkeypox dynamical system with stability and computational analysis of the transmission
This work offers a deterministic approach for the movement of monkeypox (Mpox) virus environmental transmission in the context of immunization and quarantine. It emphasizes the critical role of awareness and treatments in potentially slowing the spread of the disease. It highlights how global awareness and the use of medications, supported by a mathematical model (MM), can effectively reduce the incidence of newly acquired diseases and help control pandemic disease. This work improves our understanding of the structure and behavior of mpox, which affects control and prevention strategies. For this, population are {classified} into two parts, namely, human and rodent population. In this study, a novel mathematical model (MM) of the Mpox is developed and examined. For this, boundedness and positivity, both equilibrium states (DFE, EE), stability analysis (local and global) of the model are studied and analyzed {with the DFE and EE points, respectively}. Furthermore, bifurcation and sensitivity analysis of the model are investigated {using} the central manifold theory and {the} forward index method, respectively. Furthermore, numerical simulations of the model are performed by the \(RK\)-4 method, to validate the analytical findings.- 7 April 2025
- Published by Springer Nature in Indian Journal of Physics
- Vol. 99 (10) , 3607-3630
Bifurcation and sensitivity for COVID-TB coinfection with simulations
- 7 April 2025
- Published by Springer Nature in Indian Journal of Physics
- Vol. 99 (10) , 3607-3630
Bifurcation and sensitivity for COVID-TB coinfection with simulations